GCD of 900, 600, 988, 356 Calculator

Given Input numbers are 900, 600, 988, 356

In the factoring method, we have to find the divisors of all numbers

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

GCD of numbers is the greatest common divisor

So, the GCD (900, 600, 988, 356) = 4.

Given numbers are 900, 600, 988, 356

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 356 are 2 x 2 x 89

The highest common occurrence is 2²

Therefore, GCD of 900, 600, 988, 356 is 4.

Given numbers are 900, 600, 988, 356

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(900, 600) = 1800

GCD(900, 600) = ( 900 x 600 ) / 1800

= 900 / 600

= 900

Step2:

LCM(300, 988) = 74100

GCD(300, 988) = ( 300 x 988 ) / 74100

= 300 / 988

= 300

Step3:

LCM(4, 356) = 356

GCD(4, 356) = ( 4 x 356 ) / 356

= 4 / 356

= 4

So, Greatest Common Divisor of 900, 600, 988, 356 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 579, 177, 592, 389
• GCD of 211, 918, 402, 677
• GCD of 880, 702, 122, 977
• GCD of 267, 393, 142, 816
• GCD of 152, 149, 901, 821

Given numbers are 900, 600, 988, 356
The greatest common divisor of numbers 900, 600, 988, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 600, 988, 356 is 4.

1. What is the GCD of 900, 600, 988, 356?

GCD of given numbers 900, 600, 988, 356 is 4

2. How to calculate the greatest common divisor of 900, 600, 988, 356?

We can find the highest common divisor of 900, 600, 988, 356 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 900, 600, 988, 356 i.e 4.

3. How can I use the GCD of 900, 600, 988, 356Calculator?

Out the numbers 900, 600, 988, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.